Abstract
Using Heisenberg's matrix formulation of quantum mechanics, a method is given for quantizing volume-preserving polynomial mappings. The energy levels of the linear map are obtained exactly and those of the cubic, nonintegrable map are obtained approximately and numerically.
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Helleman, R.H.G. Quantization of nonintegrable maps. J Stat Phys 53, 457–474 (1988). https://doi.org/10.1007/BF01011566
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DOI: https://doi.org/10.1007/BF01011566